That helps 
Re 1 and 2 Collateral is required either way, gateway or T3. The collateral would be the same as what would be trusted to a T3 custodian. An agreements with a a gateway would be up to say 10k, collateral would be at least 10k or more with both gateway or your T3 proposal. In both situations an incentive will need to be paid which wouldn’t differ from each other. However the gateway operation can be automatic so require less overhead and therefore lower cost.
Re 3 This is a risk with any T1/T2 operations which have to take place anyway. I think you are shifting the risk to another LP taking care of the T1 and T2 when provided from T3. Overall the Shareholders are still exposed to the same risk or more as they also have to trust and compensate you.
Re 4 This is a real risk which can be mitigated by feed dripping the gateway instead of dropping large amounts on it. This can be done with a simple triggering script and a wallet used by T4 which releases a certain amount every hour or every day till empty.
Re 5 Alix would make that clear or just looking at the actual order books. This risk is relatively well mitigated and once caught such operator wouldn’t be trusted again ever. And I believe there is not much value for an operator to do so assuming they are trusted to a limited amount.
Re 6 See 4 scripts and a wallet
Re 7 Not sure if I understand this. Why wouldn’t a gateway operator be able to have a trading fee mechanism. E.g. just a bit of spread.
Re 8 This is relative small risk. Nu is relying on many bots. Hard-coded price feeds in NuBot? Not sure what you are referring to. Only price determination would come from T4/FLOT, but that wouldn’t change with both methods.
Re 9 It still needs to be distributed to T1 and T2. I fail to see why this is different.
This is an interesting point as FLOT is apparently set up with T3 in mind. So a gateway would indeed require some adjustments to FLOT’s role. I still think it is possible to have a gateway with a bot which is drip fed by a wallet with script so that the wallet only needs to be topped up e.g. once a week by FLOT. That way T1-T3 liquidity can be in control of one custodian. Ideally you need more custodians to take this role.
Just re-iterating my point, I think the T3 layer as proposed is too complicated (overheads and costs) without taking away a lot of risks by automating it as described above. The same may apply to the T3 role NuLagoon takes, but I need to think about that a bit more as I don’t have all the data e.g. risks and costs on how that works at hand.