This is some of the best stuff I’ve used. Not cheap by any means but has worked well for me on solid cherry, maple and poplar and on birch plywood (baltic birch). Never tried it on basswood.
However Charles Neil, the man who “invented” this formulation recently passed away and I while I see that the store link is still active I don’t know if orders are being filled. At one time this was sold through Woodcraft in the United States but I don’t know if that agreement is still valid either.
Not much help when I say “this is good stuff” but then “don’t know if you can still get it”. I’ve still got maybe a pint left and don’t use it frequently so haven’t needed to re-order. If I do re-order I’d probably switch to the concentrate version since I’d be buying less water over the Internet. Water I have at home…
If I couldn’t get more of this I’d probably go back to using the General Finishes brand of pre-stain conditioner.
Another option is to use a spit-coat of dewaxed shellac which can work pretty well with closed grain woods. And if I’m using just waterborne dye (not stain/pigment) I’ve found that getting the piece quite wet first helps moderate the absorption rate of the dye.
Final comment : always, always, always made finish test boards before attacking your final piece!