Tax-and-distribute BI doesn't cause direct inflation, because it's not changing the amount of money in the economy. If it's taking money from wealthy people that is just sitting and doing literally nothing, then yes, it causes effective inflation since it increases the amount of currency in active circulation, but rich people tend to use their money as capital - I don't have hard stats on this, but I don't think that very much of it at all is genuinely out of circulation which could otherwise be brought into circulation through BI taxes (this is the reason that some inflation is considered a good thing; it incentivizes keeping money in circulation to avoid the inflation tax).

If people magically had more money to spend without anyone having to lose money to fund it, that would cause direct inflation (since the total amount of currency in circulation would be higher). The only way that happens is if the government starts printing a few hundred billion each month and handing it out to people.