I think you have to be careful what you say and do.
Aaron Judge's blasting of 'New York, New York' after Game 2 of the 2018 ALDS didn't end up looking very good.
And other organizations will also see he pitched better than his ERA this year, and they'll see what he looked like last 2 starts.
Which means he can turn down the QO.
If E-Rod pitches well in whatever postseason innings he has left-not assuming anything-there's no way he accepts a QO. As sk7326 suggested, an Eovaldi-type deal seems realistic.
E-Rod vs. Stroman:
Based on my new favorite stat-fWAR per 175 innings:
Stroman 3.27
E-Rod 2.98
Stroman has pitched 9.5% better.
E-Rod is about 23 months younger and has pitched about one season less in innings.