According to Spanish website Sport, as of the beginning of March in the 20/21 Season Messi was the second most effective of forwards in pressing. Under Koeman Messi had pressed more than he had done in years, in fact.
Lewandowski at first with 73 recoveries, 214 pressures at 34.1% effectiveness per press.
Messi at second with 69 recoveries, 209 pressures at 33% effectiveness per press.
Messi pressed more times than Suarez, Benzema, Ronaldo (131 pressures), Ibrahimovic, Mbappe (135), Haaland, and Neymar.
The only forwards who attempted more than him by March was Salah, Lewa and Rashford (equal with Messi at 209).
So, Messi pressed, and did lots of it, and very well.