Strength isn't really a great problem, Hope. Worktops are always supported by the cabinets underneath. It's the cabinet that does all the work.
No, the problem with the way you want to join them, is that a hob cut-out leaves only a couple of inches of uncut worktop in front and at the back of the hob.
Although recessed worktop clamps (underneath) are perfectly strong enough, a "butt" of only around 2 inches wide could eventually cause the top to bend and distort. It's a weak point. It may well be fine, but I really couldn't guarantee it.
A properly cut butt joint (using a router) should be almost invisible (well, near enough for us humans anyway.)
If possible, place the butt either to the left or the right of anywhere where you do most standing and preparing food, so that it's not immediately in your eyeline.
Sometimes it's good practice to overbuy worktop lengths so that they don't dictate positioning. Even if some gets thrown away.