I'm not saying it doesn't logically follow, I'm saying it shouldn't legally follow. Exercising your legal rights should never have negative legal consequences.

Consider pleading the fifth. You can't be compelled to incriminate yourself. That doesn't just mean they can't coerce a confession out of you. It also means that the law does not infer guilt from a refusal to testify, even though logically a person who refuses to testify is more likely to be guilty than one who testifies freely in their own defense. If you couldn't be compelled to testify, but at the same time your refusal could be considered evidence of guilt, then you don't really have the right not to testify.

Same sort of thing here. If exercising your right to a trial increases your penalty then in what sense do you actually have that right? To put it in starker terms, imagine if people who previously spoke critically of the President were given a harsher penalty than those who spoke positively. That's a clear free speech violation. If exercising your free speech rights can't increase your penalty, exercising your right to a trial shouldn't either.