Do you still have market pricing for goods under syndicalism? I assume yes, since there’s no central government so there can’t be any central planning committee.

How do trade disputes get settled? Heck, how do we stop environmental damage? Suppose the forest-workers union decides to just clearcut all the forests and then stockpile the wood in their warehouses to drive up the prices like a wood cartel? With no central government and no authority, I’m not clear on the means other syndicates have of resolving this.

Lot of arguments that can go on about this. In a market socialist economy there would be market pricing - but there are non-market ideas of economic distribution. Your mileage may vary on how… realistic you regard them for a modern and complex society.

I have anarchist sympathies, but I’m not an anarchist myself - the issues you describe being among my own. Anarcho-syndicalists tend to assume a great degree of cooperation between unions. Syndicalism is not inherently anarchist, though anarcho-syndicalism is a prominent strain of syndicalism. More traditional Democratic Socialist structures are very much compatible with a syndicalist outlook.