From a budget shopper point of view, it doesn't matter when it launches as long as the performance and features are still competitive for the price by the time it launches. The A380 is quite inconsistent on performance ranging from great to horrible for the price, features look great on paper though a few have been 'delayed' to focus on more urgent issues, seems to be largely an issue of drivers failing to deliver.
Budget isn't the focus of really any GPU company. They might make budget GPUs, but the margins are so much smaller there. My quick and dirty (and not entirely accurate) rule of thumb is that a graphics card needs to cost more than the square mm of the die size to be even close to a decent money maker.
With the ACM-G11 in Arc A380 measuring 157 mm^2, ideally it should sell for $160 to be a modest money maker, and more is better (for the manufacturer and Intel). It's not going to hit that price, but the bigger issue is going to be ACM-G10 that measures 406mm^2. Again, ballpark figure for TSMC N6 is that it needs to sell for $400 or more, but even if performance is better than RTX 3060, will the Arc A750 and Arc A770 sell for that much? I suspect not, which means margins are even slimmer.
Estimated die size for ACM-G10 is 25.0x16.3mm. Intel can get at most about 140 chips out of a single 300mm wafer, some of which will be lost due to defects — though many of those will simply end up in A580 or A730 instead of A770 (or the mobile equivalent). TSMC charges somewhere around $10,000 per wafer for N7, and N6 is probably similar. So just pure chip cost and nothing else would be $75. Packaging and bonding come into play, meaning the chips probably cost Intel closer to $100. Then add in memory, PCB, cooler, and all the other bits and pieces and you can see how quickly the bill of materials cost escalates.
I'm sure it's less than $200 for everything, but the point is that Intel needs to make money, and their AIB partners need to make money, and the distributors need to make money, and the retail stores need to make money. 15% profit margin (which isn't really profit because employees need to be paid, shipping, etc.) would mean a $400 A770 would cost the retail outlet $340, distributors $289, AIB partner $245, and Intel $210 (give or take). So there's some margin but not a lot if the BOM is anywhere close to $200.
What about the ACM-G11 chips and cards? The die measures about 12.9x12.2mm, and Intel could get around 375 per wafer. Cost of just the chip would be $27 or so, but packaging and all the other bits and pieces add to that. We know Intel has set a base MSRP of $140 on the A380. Again using 15% margins: retail pays $119, distributor $101, AIB $86, and Intel would need to sell for at least $73. I'd guess the margins per A380 are well below the $25 mark for chip for Intel, which is why every GPU company is far more interested in higher cost products.