Twitter has been an important part of Instagram's success. Photos could be viewed directly on the Twitter timeline and have spread to Instagram. Then Facebook bought Instagram and Twitter disabled the preview feature.
Twitter didn't want to spread Instagram while launching its own photo feature. The result is that tweets with Instagram links are less likely to be forwarded than tweets that work with Twitter photos.
The positive effect applies not only to Instagram, but to Twitter photos in general. A photo from pic.twitter.com is 94% more likely to retweet than a tweet without a photo.
The difference was made by
So Twitter has achieved its goal with the Instagram blockade. The own photo service is more effective for companies and ensures a greater dissemination of the content. But Twitter won't be able to solve one problem for now. Companies use Twitter differently than Instagram (fortunately). Photos often do not play a decisive role in Twitter strategy. It looks similar for users. Photos are posted on Instagram and Facebook, and if you're in the social media industry, there's an auto-forward to Twitter.
From a company point of view, it would make sense not to use cross-postings, but to publish all images separately on Twitter. If this increases the number of retweets, you should take the trouble.