It depends a lot on the steel grade and steel thickness you are using. It also depends on the weld detail
Traditionally laminar tear was a problem on that loading situation and the detail was discouraged. Steel plate lamination processes accumulated deffects in the middle of the steel plate and created points where internal tears could create if plates were loaded transversally to the plate thickness.
These days, steel quality is much better and the issue is not so prevalent.
Myself, I do not like the detail but it is very common on cable stayed bridges, for example, where the anchor plate on the deck for the cable stays is welded to the top flange of the longitudinal deck girders. The plate is aligned with the web underneath. Clear example of tension trasfer through the plate of the top flange
(Hope my explanation makes sense).
You can order a special material quality for the plate (in Europe I think it has the letter Z) which has been checked for internal deffects. Many people, myself included, would request UT inspection of the plate after the weld is completed to ensure that no internal tears are present.
Also, talk to a welding engineer. In a previous job I was involved, the welding engineer specified stringent pre-heat conditions for that particular detail. He also mentioned that other welding engineers favour 'mail slot' details or require gouging of the material and then weld passes to feel the hole on the plate prior to welding the other plate, apparently with the idea of heat treating the area.
A lot of 'vudu' if you aks me. Ideally, avoid the detail and stop worrying