Scotland's curve started a couple of weeks later than other European countries so we're behind the curve on that one. The Scottish Government were busy saving lives and would not have listened favourably to any such requests from the SPFL. Before you say that we don't know until we try, I think we all know Nicola Sturgeon by now.
Perhaps the board of the SPFL were like-minded and didn't want to put football ahead of controlling the pandemic.
Your second paragraph even admits that pushing the Government 'rubs them up the wrong way'.