Hey Danne,
Know his is an old topic and you may have figured out your answer by now but I hope this helps.
1 issue I have with the Sedgwick leather care is the residue. I found if you clean first with Leather Amore by Bee Natural or even something like a castile soap first it tends to absorb better especially on bridle leather. Also work in well with your fingers into the leather and then wipe excess away after you feel like it has absorbed what it is going to absorb and then wipe away the residue right away with a very slightly damp cloth. Try rubbing the conditioner between your fingers to warm it up and I don't seem to apply too much of the Sedgwicks when I do that. I am going to experiment with making my own cream similar to sedgwicks this week with tallow, lard, cod liver oil and beeswax. I'll let you know how that turns out b/c I want to love Sedgwicks but just have trouble getting it right, but if I clean first, warm in hands, don't use too much, and wipe off excess right away then it works pretty well. With Bridle Leather it is important to use something like Sedgwicks to restore the fats lost in tanning and with wear. I don't use oil except a smidge of Cod liver oil on bridle leather, but the fats are the most important thing you want to continue to put back into the leather.
I do like the softening effect it has on bridle leather but if it is just regular veg tanned leather it seems to just end up gumming up the leather if that makes sense and makes it feel heavy. The shine you get from buffing the leather after applying sedgwicks is not the best either. I sometimes use Sedgwicks and then actually use a conditioner by Higher Standards that gives a little nicer glow to the leather. I think a lot of the other recommendations above are better for vegetable tanned leathers that have not been stuffed with greases and waxes like bridle leather has after the vegetable tanning process.
Saphir is really great for Chrome tanned but I don't love it on the veg tanned stuff as much. Stick with Saphir in my book.