The goal is not to keep everyone working, the goal is to share the benefits of automation with everyone, not just the capitalist class. BI does this, your solution does not.
Unless you tax automation heavily and redistribute it, workers lose no matter how you slice and dice the hours. It's not enough to work less, you have to work less while not making less and that's simply not in the cards.
> The idea of BI deprecates the idea of having an economy (ie p2p transactions), and replaces it with widespread monthly funding from the government.
Simply not remotely true. Spending money you get from the government is still spending money. Redistributing money from the top to the bottom via BI in no way deprecates the idea of having an economy, it simply depreciates the idea the the economy is based entirely on wage slavery.
> This will necessarily come with strings attached, inevitably becoming a highly politicized way of dictating individuals' life choices.
Also not true, anything with strings isn't BI; the whole point of BI is that everyone gets it without restriction in order to eliminate bureaucracy and thus strings. If it has strings, it isn't BI.
> We already have something quite similar to BI, called welfare/medicaid
Neither of those are remotely similar to BI.
> which brings no end to hassling its recipients
Precisely because they aren't remotely similar to BI and force people to qualify for them; they're exactly what BI is intended to fix, all the hassles and stigma that come with those programs and the shit you have to go through to get them.
Frankly, you leave me thinking you really don't know what BI is, or don't understand it.