I suspect that that might push even HEr Maj to question Boris quite deeply. The Palace is apparently Very pissed off that he dragged her into his shenanigans last time round. I’m not sure that even Boris has the chutzpah to try that again. But if you want a man to know, or find ways to undermind the much-vaunted Sovereignty of Parliament, Ress-Smugg is just the filibuster to do it. I doubt it. Even if she’s being dragged into politics against her will and convention, the Queen will still not want to do anything to further politicize herself.
I agree it is a fine balance – her advisors would be considering which is the least harmful option. To be politicized yet further by Boris, or by saying “on your Bike, Boris.”. She could cause quite a constitutional row in. Boris might not come off very well if this is still a bridge too far for many royalist Tories. Who would they side with? I think she would always take the view that. Any action she took would be to further politicize herself against elected politicians. No matter how badly behaved the politicians were being. She isn’t going to dismiss Johnson.