An interesting aspect of arriving in Asia at that point is that there would have been a lot less money in the China trade.
The backbone of the trade with India, the East Indies, and China was shipping silver and gold there, to be exchanged for either luxury goods or substances of varying levels of addictiveness. One end of the trade would be fairly similar - the desire in the Far West for Asian goods - but the trade going the other direction would be far different. For incoming trade, nothing could beat silver in Asia if you could get it by the ship load. But demand for silver was extremely conditional.
Ships arriving before the early Song could have done some business in silver in China, but by the end of the 13th century China was firmly on the paper standard. Silver became a decorative material. That might allow it to have some value (although almost certainly not enough to justify trans-oceanic shipping), but with paper money in use, any bulk imported silver would if anything be a threat to the currency and be blocked.
The OTL opportunity was orders of magnitude better. China was reverting to silver currency after so long on paper that there simply wasn't enough metal to make the economy function as desired. The result, magnified by population booms from agricultural innovation and the adoption of New World crops, was almost bottomless demand with an enormous price disparity on silver between China and the rest of the world.
The most surprising effect of a successful Vivaldi expedition might be how little actually changed....