The G-10 might be the 'poor mans K-4' but its performance was more or less the same as the K-4.
Both, the G10 and K4 had DB-605 derivates with high altitude optimised supercharger (Db-605 ASM/ASC), which had less power at medium altitude (except the 2000hp DB-605DCM running at 1.98ata) than the Db-605 AM of the late -G6 and standart -G14.
There is little to choose from a MW-50 boosted G6/-G14 (on 1.7 ata) and the -G10 or -K4 (1.8 ata) in the low to medium altitude range interested here (G14 beeing slightly faster). The performance difference exist - but at altitudes larger than 5500m, where the -G10 and -K4 clearly are faster.
Compared with the many late -G6, and -G14 aviable, how many servicable La-7 had the VVS at it´s disposal in 1945?
The january ´45 list gives 298 La-7 (all of them with 2x 20mm Shvak), increasing to 798 planes at may 9th, 1945 (including those serving in Manchuria and Slovakia). Compared to the thousends of La-5F, La-5FN and Yak-9, this number doesn´t appear to be very large.
Working from the performance data of soviet and german sources, respectively, I cannot see where the La-5FN or La-7 outperform the basic Bf-109G6 or -G14 with MW-50 boost and Db-605AM:
(note: MW-30 was initially aviable early in 1944 and soon replaced by MW-50. The Bf-109 figures are on 1.7 ata and B-4 fuel, the soviet figures on increased "forza" power)
The 1945 produced La-7 with 3x Berezin 20mm and further increased low altitude performance was somehow faster at SL and 2 km/h faster at optimum altitude. But then again, this compares unfavourably with Bf-109G and -K derivates on 1.98 ata using Db-605 DCM, which appeared in the same timeframe.