I would advise getting both LPA's. I certainly wouldn't have wanted the LA or any one else for that matter, dealing with my mums finances.
Finance and property LPA , means you can deal with things like banks, utility company's , insurances, firms or private pension schemes on your mothers behalf and pay bills etc.
For me the most important things with the health and welfare LPA is it give you the right for for example Drs to discuss the persons condition and treatment with you and they can't easily hide behind the rules of confidentiality ,though they may try, then you can wave the registered forms under their nose
Bear in mind though this LPA can only be used when the person has lost capacity or is otherwise unable to communicate their wishes .
Of course if their are no savings at all and the only income is the state pension and benefits then being made an appointee by the DWP , dept of work and pensions should suffice
If you wish you can do the forms yourself , the Alzheimer's society can help.
If you decide to use a solicitor , do shop around as their prices do vary.
TBH I am rather concerned that adviser gave you that advise , it sure sounds wrong to me .