Hello
1.) Pay attention using terms. Because of history and many other reasons there is a lot of confusion (what is ECC, what is ERP etc. etc.) (e.g. check What is ERP and SAP ECC??)
2.) If we define: Global Trade Management" as "SAP GTS": then this software is updated from time to time so that you will get a new "compliant"solution. Currently we are on version 11.0 (check: SAP Global Trade Services 11.0 – SAP Help Portal Page)
3.) Pay attention not to mix "hardware" aspects with software aspects. In many cases the "best practise" seems to be: One SAP ERP/ECC system and one SAP GTS system
Now the term "Business Suite" is once again not a "very good" one (but check: SAP Business Suite to get a "first" answer; may be: Featured Content for SAP Business Suite could be of interest too; same as: SAP Business Suite on SAP FAQ). But in most of the cases we can assume that this is SAP ERP/ECC next version (the Next version will be S/4 HANA (Business Suite solution e.g. check: SAP S/4HANA – SAP Help Portal Page)
To get current information about any kind of road map from SAP is not easy. I am not aware of any plan to move SAP GTS to a "HANA" based version.... but time goes by...
C.B.