... To the contrary it appears Luftwaffe was pleased with performance and low cost of late war Me-109 variants.
I really doubt that the LW was pleased with performance of 109G-6 during the early part of 1944, numerically inferior LW would really needed something better, in the late summer 44 arrived the partial solutions (G-14 and G-6/AS) which somewhat easied the quality problem but not enough to solve the quantity problem.
Germans produced massive amount of 109G-6s because they had not anything better at that time, not because they were very satisfied with it anymore.