Every MUA I've used allows the reader to set a font size, so changing font sizes is 100% a feature of plain-text emails. Then they get the link the size they need to read it correctly and it's absolutely easy to read. This here comment is pain text. Is it hard to read this link:
I think the OP app is meant for creating transactional emails (or bulk-send emails like newsletters).
Those templates should account for all types of people and accessibility levels (including things like ADHD, where you need a big red button to click, otherwise you get overwhelmed by a block of text).
Using a URL shortener obviously. But you are right, if they only send plain text, they won't be able to include those 1x1 images at the bottom to track whether you have opened the email. Any sane email client blocks images by default, but whatever.
You could have a larger text instead of a button, but changing font size is also HTML and not plain-text anymore.