These seem like reasonable propositions

A Conservative spokesperson hit back against the Lib Dems’ proposal, arguing: “What’s the point when they agree with the Labour party on every issue?”>

I’ll counter this with “What’s the point when you just deny anything else the other parties suggest?”

Strategically why wouldn’t Labour go for this?

Any such change would need agreement from the government to amend standing orders, which would require a Commons vote

Fewer opportunities for the Tories to speak. Sounds like a winner.