To be sure I get all these correctly, your plan is:
3 x ML120 fans in front intake
2 x ML120 fans as top exhaust
1 x ML120 fan on the radiator of the H60i (2018) of the CPU cooler, mounted as rear exhaust
1 x Corsair (unknown model) 120 mm SP-type fan from the H60i system, as bottom intake
Yes, this can all work using just Splitters, with the right configuration settings.
First, the CPU cooler system is the H60i, but replacing its supplied fan with one of the ML120 fans. No problem. Now, the H60i installation is best done using the mobo's PUMP_FAN1 header for the pump unit, and the CPU_FAN header for the fan mounted on its radiator at the back. The pump unit has a 3-pin fan connector on its cable but it requires a constant full 12 VDC power supply so it runs full speed always. So configure the PUMP_FAN1 header to use PWM Mode. This is technically the wrong way to control a 3-pin fan, but it takes advantage of a fan design "quirk". When you connect a 3-pin fan to a header using PWM Mode, the fan always receives the full +12 VDC on Pin #2 and it never gets the PWM speed control signal from Pin #4, so it does run full speed all the time. The design of the H60i system intends this for pump speed, and does all control of the CPU temperature and cooling by varying the speed of the radiator fan. You will be using a 4-pin PWM style fan on that rad connected to the CPU_FAN header, so configure that header also to use PWM Mode and default automatic control.
That leaves six other fans for case ventilation - three front and two top by ML120's, and one bottom intake 3-pin fan. You will have four mobo SYS_FAN headers to power and control them. The bottom intake 3-pin fan needs to be on its own header that is configured to use DC Mode, because that's the only way to control its speed. All the other fans can be powered and controlled by SYS_FAN headers that are configured for PWM Mode. Those fans are spec'd to pull at max 0.225 A current per fan IF you have the ones with NO coloured LED lights in them. You have not specified this, but IF you are going to use the ML120 Pro LED fans, they are spec'd to consume 0.299 A max. In both cases, you could connect three such fans together using a Splitter to a single mobo SYS_FAN header and still be OK with a max current of 0.9 A or less, versus a fan header limit of 1.0 A. So with five such fans you could use two three-output Splitters like this
https://www.newegg.com/Product/Product.aspx?Item=N82E16812423163&Description=Coboc%20fan%20splitter&cm_re=Coboc_fan_splitter-_-12-423-163-_-Product
to make the connections to two mobo headers, leaving one header unused. OR, you could use two two-ouput Splitters like this
https://www.newegg.com/Product/Product.aspx?Item=N82E16812423160&Description=Coboc%20fan%20splitter&cm_re=Coboc_fan_splitter-_-12-423-160-_-Product
to connect pairs of fans to two headers and a single fan to the last header.
Although you plan to run all the case vent fans at half speed, at start-up time all of them will be fed for a few seconds the full 12 VDC supply to ensure start-up, and that's when max current is pulled. So the calculations for max current do apply, and the arrangements above are OK.
I get that you are concerned about noise, but I want to caution you about your plan. First, I really think the speed of the fan that is mounted on the radiator to cool the CPU should be under automatic control by the CPU_FAN header, and not set to a fixed lower speed. If you do this, most of the time it will be running slower because that is sufficient, but it also will be free to speed up when the CPU gets hotter because your workload has increased. This will happen automatically with no intervention by you. If you were to limit its speed to a fixed slow setting, YOU would be responsible for making sure that the CPU never overheats when you get busy.
A similar argument applies to the case ventilation fans, but with those there is less concern for overheating damage to the expensive CPU chip. Thus your plan to fix them all to be slower is probably OK. I encourage you try try using automatic control anyway, just to find out if a fixed slow speed DOES actually give you both lower noise AND adequate cooling under most conditions.
I recognize that, for the case vent fans, a significant concern is adequate supply of cool air into the case so that the Graphics card can have sufficient cool air to do its own automatic cooling. Unfortunately, no automatic fan control system on the mobo can take care of that for you, because the mobo has no access to temperature information from the graphics card. Mobo automatic control of case fans on the SYS_FAN headers is based on a temperature sensor on the mobo, and that does change fan speeds according to system workload as mobo components generate more or less heat. Roughly that also correlates with workload and heat generation on the graphics card, too, but there is no feed of graphics card temperature to the mobo.