The counting stats just aren't there yet for Maye in the passing game. No 300 yard games. Only one game with more than 250 passing yards. But you can see the talent.
In the games he's started (and basically played the whole game), these are the numbers:
41-21 loss to Hou: 20-33, 243 yds, 3 td, 2 int, 5 rushes, 38 yds, 1 fumble
32-16 loss to Jax: 26-37, 276 yds, 2 td, 0 int, 3 rushes, 18 yds
20-17 loss to Ten: 29-41, 206 yds, 1 td, 2 int, 8 rushes, 95 yds
19-3 win over Chi: 15-25, 184 yds, 1 td, 1 int, 4 rushes, 24 yds
TOT: 90-136 (66.2%), 909 yds, 6.7 y/a, 7 td, 5 int, 20 rushes, 175 yds, 8.8 y/a, 1 fumble
He's inconsistent (no surprise) and he makes mistakes (no surprise). But he's also a big play machine who can get it done with both his legs and his arm. Accounting for 1084 yards in these four starts (271 yds per game in these four starts). That's very good. Josh Allen, by the way, averages 254 yards per game (passing + rushing). Mahomes, 264. Herbert, 223. Hurts, 262. Daniels, 261. Lamar is in another universe, averaging 321 yards.
So Maye can really get it done, and he's doing it with mediocre skill position players and a subpar (at best) offensive line. The mistakes can be cleaned up as he matures.
His counting stats will never get better until he gets better weapons. That's the unfortunate reality.
Here are the top Pats receivers Yards after catch:
Henry: 40 catches, 180 yards after catch (YAC), 4.5 YAC/R (much improved over the 1.9 he had last year)
Pop: 39 catches, 206 yards, 5.3 YAC/R
Hooper: 19 catches, 125 yards, 6.56 YAC/R
Boutte: 17 catches, 31 yards, 1.8 YAC/R
Polk: 11 catches, 3 yards, .3 YAC/R
Rhamondre: 24 catches, 150 yards, 6.3 YAC/R
Gibson: 13 catches, 135 yards, 10.4 YAC/R
Totals: 163 catches, 830 yards, 5.09 YAC/R
That just doesn't get much done, when you're biggest YAC guys are lumbering tight ends who happen to randomly get wide open and can rumble for 10-15 yards, and your RB's who should have high numbers with the screen game (but still not very good in comparison to other #1's around the league from James Cook to Kamara to Bijan to Connor, etc).
This isn't about Drake not being able to put the ball in spots like Josh Allen, it's about having space to work with once you do catch a ball, and the lack of separation from the Pats receivers (at basically every position) is glaringly obvious. Ja'marr Chase by himself has 451 yards YAC this season, more than double every receiver/tight end/running back with double digit catches on the Pats combined. Guys in the top 10 of YAC this year, Chase, Shakir, Kamara, Bijan, Rachaad White, Achane, Godwin, Flowers, Breece Hall, Bowers...
Limiting it to wide receivers, Pop's 5.3 YAC/R places him 39th among wide receivers. Boutte, who has the 2nd highest YAC among WR's on the team, is 139th in the NFL.
That's just so, so little production it's almost impossible to put up big numbers in the passing game. I mean, you would think at some point, a defender would fall down and these numbers would go up, but we can't even get that from our receivers.