Not even close. They range from 2.5" on the small side to 5"on the large side.I like the 4" tubs because they have a shorter profile and I can fit more soaps in my medicine cabinet!
The first ones I thought of are: HTGAM (old 8oz tins) Grandstaff Soap Co. Both of these companies are no longer in business, although HTGAM is now PAA. Both of these soaps came in a huge 8oz metal tin that is the widest cotainer available as fat as I know. You may be able to buy the Containers separately and put whatever soap in them you like. Or you could try to pick some up on the BST. Oh I almost forgot, MER Shaving is another artisan that used to use these containers but not sure if they still come in this packaging.
I got some of the 8 oz blue plastic containers from Specialty Bottle and Containers: https://www.specialtybottle.com/plastic-jars/blue-pet/oval-round/8oz-phb8 They are 3.75" x 2.1". They also look great: