Liverpool have had a lot of injuries this season actually... particularly in midfield, centre back and keeper, the foundation of a team.
They have been lucky with their "big three" in attack yes, but to spin a narrative that they've had "virtually no injuries" is just not correct.
Can you remind me what they were? I'm probably wrong but I can't remember anything particularly major other than Alisson.
I find the "Absences" section on transfermarkt reasonably helpful.

Too much information to interpret to post on here, but I can see Alisson (7wks), Matip (12wks), Lovren (13+wks), Fabinho (8wks), Keita (8+wks), Shaqiri (6wks) and Ox (4wks) as their first team player injuries.
United have had Bailly (18wks), Tuanzebe (11+wks), Jones (14wks), Rojo (15wks), Shaw (10wks), Dalot and Fosu Mensah (20 wks), Pogba (17+wks), McTominay (5+wks), Martial (5wks) and Rashford (5+wks).
Apart from Alisson - are any of those players first choice? Maybe Ox but only 4 weeks. Otherwise Fabinho and Keita, but (typically) not their top players.