It's really difficult to answer this separate from one's biases.
I'd also note that Trump, then Biden, then Trump again escalated the use of the shadow docket way beyond historical norms [1]. This was a deliberate choice by both Presidents.
> there is something fishy with both sidesing it
Didn't mean to both sides this, at least not at the level of the Court. The Court has had a conservative majority for a decade; one could argue Jackson and Sotomayor are balancing the court by leaning against its centre of pressure. But it's not unexpected for the Court to be a bit more deferential towards a Republican President. We haven't been appointing and confirming neutral arbiters for a while.