I think TS would be loath to electrify Barrhead to Kilmarnock without it being redoubled. On one level, that redoubling might not be required for the future service provision, but on the other it means the route can be done 'properly' and they wouldn't need to effectively re-electrify the lot upon redoubling. I don't think there have been many routes which have been singled, then electrified, then redoubled. Singling after electrification has been done but it rarely involves moving the existing OHLE - it is, after all, a cost-cutting measure.
Barrhead-Kilmarnock is not an enormous distance - comparable again to the Shotts wiring. Redoubling would obviously add a bit of upfront cost. Going south of there would be a much bigger task requiring a lot of work before there's any real benefit. When wiring up to Aberdeen, for instance, it's possible to do it in individually useful chunks like Glasgow to Dunblane, Dunblane to Perth, Perth to Dundee and Dundee to Aberdeen. Costs can be spread and the benefits realised reasonably quickly for each chunk.