Interesting the word is "they" and not "you". Assuming "they" means the "tech" companies that provide these browsers and "you" means the computer owner.
Computer owners are usually given the run-time option to remove "trusted" root certificates that are pre-installed with browsers like Chrome. That is, remove them from the current list of trusted root certificates, not remove them from the source code. In a more perfect world, more computer owners could compile their own browsers,[FN1] thereby giving them the opportunity (freedom of choice) to remove untrusted certificates from the source code, as well as to add their own. Not to mention make other useful changes suitable to their own needs.
Can the computer owner remove a "trusted" log provider.
Can the computer owner add their own log provider.
FN1. I prefer to rely on a localhost proxy to perform TLS instead of the browser. One benefit is that I can read, edit and compile the proxy source code myself, quickly and easily. Unlike the graphical browser from the online ad services "tech" company, the author(s) of the proxy are not compromised by a pecuniary interest in selling and delivering programmatic advertising services, and the ability to use an in-house browser to support that pernicious endeavour. In using a proxy, I am not having to fight against the interests of the paternalistic browser vendor in order to protect my own.