No. Just, no.
I want to share something that I experienced very recently.
I use Firefox and Chrome (just for using Taskboard) at work. I also use Firefox at home. Both systems are Debian. The perceived browser speed was Chrome (Work) > Firefox (Work) > Firefox (Home). I always thought it was about DNS resolution, so I started running DNSMasq at home on an OrangePi Zero but, it didn't make much difference.
Two days ago, my home ADSL modem suddenly died. I replaced it with a more modern version and everything about speed has changed. Now The speed of Firefox at home is equal with the speed of Chrome at Work, Firefox at work is slightly behind.
It can be said that Firefox is much more sensitive to network parameters like DNS response times, but its rendering engine and other capabilities are not behind Chrome.