Much as I like your scenario, man ... it's hard for me to imagine an Allied landing in Jutland that wouldn't end in disaster. Consider this: For Weser alone the Germans
had
- 102 fighters.
- 233 bombers.
- 39 dive bombers.
- 165 reconnaissance aircraft (including float planes).
- 582 transport aircraft.
Add to that anything they can quickly bring up from the rest of Germany. I don't have the numbers for April but in August the Luftwaffe was at 787 planes in fighter-strength alone.
The Brits have 3 carriers with a combined strength of about 150 non-replaceable planes to protect the navy approaching Jutland, the landing forces at all embarkation points and provide aircover for the forces inland.
The RN is, btw, forcing waters close to German territory - with all that that entails of subs, mines and other nasties to count with, aside from the at this time still significant KM.
So, yeah, technically possible to get some troops ashore, of course, but not very many before the lifeline of the RN is ground down by repeated airstrikes and then the rest of the forces are dealt with. By 10 May OTL the Germans were still fighting in Norway and at the end of that campaign on 10 June they had
lost
5,296 men
(1,317 killed on land,
2,375 lost at sea,
1,604 wounded)
I doubt the casualty rates would be anywhere near as high here, no matter how lucky the Allies get with getting troops ashore in Esbjerg and elsewhere, so materially it will matter little for Fall Gelb if the Germans bog down before Norway. Psychologically, yeah - that's probably a whole other story. Good point!
Even Churchill didn't have hindsight (although he may often have acted that way LOL), so I think it's more plausible that once the Brits realize something is really bottling the Germans up in Denmark they'll fire off all their planes and bomb whatever German formations they can find. Maybe some special troops, paratroops, a raid here and there to destroy whatever could be strategically significant, provide some advisory aid to the struggling Danes.
But risking all of the troops (many of which were recalled OTL to deal with the attack on France) in a de facto suicide invasion of Jutland, I don't think that is plausible under any variation of this scenario. I'd probably be a bit cynical and say that the British will give Denmark a de facto Mers-El-Kebir treatment and do the abovementioned, maybe even bomb Aalborg airfield themselves or send in special forces to blow it up, and then dumping a sh*tload of mines in Skagerrak to keep the Germans away from Norway.
The Brits can do that ('Norway-denial') in a lot of ways, without landing too many troops, once the realize the Germans are behind schedule and that it is not necessary to clear German troops out of Norway before trying to do anything near Denmark, which was a lost cause OTL after 6 hours.