I wouldn't suggest that "upgrade".
PUBG is a poor title to quantify performance though, as it's not fully optimized at this point (it's getting better, but it's not 'there' yet).
From a strict gaming perspective the 965 (and even the 8350) were bettered by "modern" (at the time) i3's.
If your friend is seeing wholesale issues across all titles, then a new system should be a consideration for the near future.
If it's just PUBG....it is what it is, right now.
If your friend is open to overclocking (and hasn't OC'd that Phenom already), i;d look to push as much performance out of it as possible.
In 2017, it's performing more in line with the lower FX options (4300 etc). An OC isn't going to miraculously fix that, but should help him push a little bit more performance from it.
Speaking of OCing..... a modern "budget" setup can be really solid for gaming too..... But something like a Ryzen3 (well, any of AMD's newer offerings really) heavily benefit from fast memory + overclocking.
An investment of <$250 would get him a very respectable low-mid range gaming setup, paired with the 1050.
PCPartPicker part list /
Price breakdown by merchant
CPU: AMD - Ryzen 3 1200 3.1GHz Quad-Core Processor ($109.87 @ Amazon)
Motherboard: ASRock - AB350M Micro ATX AM4 Motherboard ($40.98 @ Newegg)
Memory: G.Skill - Ripjaws V Series 8GB (2 x 4GB) DDR4-3000 Memory ($88.99 @ Newegg)
Total: $239.84
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-10-19 17:33 EDT-0400