I see - my answer is still mostly the same as the one before: I generally do not think there is any issue with expressing an interest in a multitude of practice areas that a firm is known for, even if they span across the transactional-contentious-advisory spectrum. More particular to the matter at hand, I do not see the restructuring & insolvency point to raise any issue at all, as it is not even formally classified as a contentious practice. Instead, it has elements of both, with restructuring work in particular being very transactional-heavy (as at its core it involves getting enough creditors to agree to CVAs to keep the company alive), while insolvency is more contentious. Particularly at Kirkland, who has a core focus on highly-profitable private capital led mandates in London, I would expect the restructuring part of its practice to be more important than the insolvency one, and, as such, I do not think the firm would assume you are a person who is more interested in disputes than transactions if you choose to discuss the this story.
Even if this were not the case, and the firm's restructuring work in London was heavy on the contentious side, as long as you are careful with how you draft your answers I really do not expect this to be a problem in your application. Essentially, you should indeed avoid discussing any reasons for your interest in restructuring & insolvency that could weaken the credibility of your "why transactional" reasons - eg. if you say you are interested in transactional work because it is fast-paced and more business-focused when compared to other more technical practices, you should avoid saying you are interested in restructuring because it involves working on a single complex matter for a longer time and that you would enjoy it because of the incredible complexity and technical detail of regulation in this area. Nonetheless, as you can see, these kinds of tensions in motivations are quite obvious when you spell them out, and I therefore think it is quite unlikely you will inadvertently write conflicting narratives in the two answers.