Musk has been more unhinged in his online activities than ever in the past six months or so, coinciding with a 45% slide in TSLA share price. Hypothesizing that his social media addiction is central to his 'success' would be pretty easy to test by simply comparing TSLA's performance to another auto manufacturer, e.g. Ford or GM. Doing that, TSLA is not showing any advantage - all three have suffered about the same amount of share price decrease.
So just looking at the numbers, it's clear Musk could just focus entirely on productive work, skip the 'influencing' and wanton reputational damage to the businesses he manages, and it wouldn't make a bit of difference. TSLA and the others would arguably be in the same place if the average person had no idea who Elon Musk was.