That's why he was ok with giving one-off $1000 checks based on income (which is probably mostly redistributed cap gains revenue), while also veto'ing relatively cheap improvements to the education system due to their cost. I'd imagine that a $1000 check also goes over better with voters than kindergarten for everyone or improved mental health resources in schools.
In general lower income people spend a higher proportion of their money than people who are ineligible for the $1000 checks, so I can see how it might possibly still drive inflation.