Those two models are quite different.
Fender:
-Comfortable design, versatile sound, 3-band EQ, thin neck.
Warwick:
-Quite uncomfortable because the upper horn is very short, so the neck sits away from your body and can make it uncomfortable after playing for awhile.
-Very particular (agressive) sound that works best for certain types of heavy music, or funk. 2-band EQ.
-Much thicker neck profile is not instantly inviting - although that is a very personal preference.
-They are usually heavier.
In sum:
If you are looking for a unique-sounding bass with a super-modern and bright sound, and you don't mind bad ergonomics (poor weight balance, etc.), then try the Thumb.
If you are looking for a modern bass with a more traditional and recognizable sound (altohugh still pretty bright and agressive) that will work in many styles of music, and you play long sets standing up, and are older than 30-years old, have back problems, or are overweight, I would go for the Fender Deluxe.
All that said, I have had both. The Thumb I sold many year ago and is in my permanent black list of "worst bass designs ever." The Jazz Deluxe is still one of my favorites and I play it 80% of the time.
Don't buy the Warwick based on looks - make sure you play it first.
And finally, they are both pretty good in quality, so in that aspect, you won't go wrong with either.