Actual FPS differences vary from game to game, because a) each game has different requirements, b) some games require more cores than others, c) some games are much more CPU-intensive than others, & d) especially with console ports you have varying levels of CPU code optimization.
That being said...
-- GTA V (https://www.techspot.com/review/991-gta-5-pc-benchmarks/page6.html) shows the i5-3470 (just a slightly faster version of your current CPU) having a definite lead (+15% performance) over the 4th-gen Core i3-4130
-- They weren't able to test with as many CPUs with Battlefield 1 because of "hardware changes detected" issues, but they did test the i3-6100T against the i5-6600K (https://www.techspot.com/review/1267-battlefield-1-benchmarks/page4.html). Note that both those CPUs are 6th-gen Skylake CPUs (the Pentium you're looking is only a slightly newer 7th-gen Kaby Lake CPU), & the i3 is a 2C/4T CPU like that Pentium. Again, the i5 had 15-25% better performance.
-- For Honor 9https://www.techspot.com/review/1333-for-honor-benchmarks/page3.html) really shows the advantage of "real vs. HyperThreading" cores, as the 2nd-gen i5-2500K (at the slower speed of 3.2GHz) had better performance than the 7th-gen i3-7350K (at a much higher speed of 4.2GHz), let alone the slower i3-6100 (3.7GHz); the Pentium would probably fare even worse.
In short, the only time you might see that Pentium fare better than your current i5-3450 is in games that only use 1 or 2 cores, & the Pentium's faster clock speeds would be in use. But most "modern" games, especially going forward, you'll see your i5 generally perform better.