This is a bigger problem than tests.
You mean things going over estimates or SM/EM complaining about it?
You’re presenting a solution for a problem that the team either does not see as important or doesn’t think exists at all.
Definitely it's a known issue, and I think people think it's semi-important. Feels like every other standup has a spiel from the EM about "we need to test things, stop breaking things, etc.".
Whenever I argue on their terms though, I quickly "lose", because business terms seem to be, "agree to everything from the business, look busy, and we will have time for IT concerns (i.e., testing) when we are done with business projects for the year (i.e., never)."
If I want any meaningful change, I think it will need to be be something I work around management on.