We've heard a lot of general statements about the UK being more liberal in trade policy than the EU. We have seen precisely no realistic worked through plans to deliver this (a US trade deal is not necessarily liberalising, unilateral tariff removal is not going to happen)
Trade liberalisation is like removing red tape. Easy to talk about, hard to actually do. Remove some tariffs and you threaten domestic producers or developing country preferences. We haven't wanted to be more liberal on movement of people.
Yes we can be more trade liberal than the EU. Realistically the changes are unlikely to be dramatic. If someone says they will be then ask them for specific detail.
