I was speaking about the gate driver inputs likely being high impedance, not the output pins of the MCU.
I was basically just saying that most likely the boostrap IC doesn't demand a lot of input current from the MCU, but that the gates of the FETs probably do (depending on gate charge, frequency, switching voltage, etc.).
As far as ringing on the input of the boostrap IC due to the high slew rates of the MCU outputs, that is certainly feasible. As you said, possibly resulting in multiple crosses over high and low input thresholds of the boostrap IC. If that ended up being an issue, something like a one-shot IC close to the inputs of the bootstrap IC could fix it if its delay time was adequately set. Not that adding another IC is usually a desirable consequence of board layout issues.