In the consulting space, you'd want to consider the following things:
1. The pre-COVID 19 stance or attitude around WFH: The more the company has engaged with WFH in the past, the more likely they are to sustain it now (IBM has a great WFH culture and infrastructure, for example)
2. Digital tools used by the company to stay in touch - Think Slack, Zoom, Whatsapp, etc. - You don't want to be out of sight and out of mind
3. Level of online training available: You won't have an in-person training to rely on, so online training is critical. At IBM for example, we had a YourLearning portal with 1000s of hours of content in very broad and also very niche subjects
4. "Online" Hours: Depending on what type of work/life balance you're looking for, you have to know the expectations around when to be online. Typically, consultants are online all the time anyway. However, some firms are more conscious of family/personal time than others.
5. Level of client exposure: In consulting, the client is king. The more you can create value for a client and flex your skills, the more likely you are to get a return offer. Unfortunately, you won't be able to do this in person. Make sure the consulting company has a plan for how to get you in front of clients and working on client-facing activities while remote.