Does it make sense to save and commit changes in INotificationHandler in MediatR?

Question

I'm looking for a solution to use INotification in MediatR, what I'm trying to do is handling the commits and changes in INotificationHandler, instead of IRequestHandler.

Does it make sense to do so? Product-> AddProduct->ProductWasAdded.

 public class AddProductCommandHandler : IRequestHandler<AddProductCommand, Result<ProductTypeId>>
    {
      private readonly DbContext _writeContext;
      private readonly IMediator               _mediator;

      public AddProductCommandHandler( DbContext writeContext, IMediator mediator )
      {
        _writeContext  = writeContext;
        _mediator = mediator;
      }

      public async Task<Result<ProductTypeId>> Handle( AddProductCommand request, CancellationToken cancellationToken )
      {
           //Logics ommitedfor bravety
           await _mediator.Publish( new ProductWasAddedEvent(product), cancellationToken );
      }
    }

and in INotificationHandler:

  public class ProductWasAddedEvent:INotification
  {
    public Product Product     { get; }
    public ProductWasAddedEvent(Product product)
    {
      Product= product;
    }
  }

Finally in INotificationHandler:

public class ProductEvents:INotificationHandler<ProductWasAddedEvent>
  {
    private readonly DbContext _writeContext;

    public ProductEvents( DbContext writeContext )
    {
      _writeContext = writeContext;
    }

    public async Task Handle( ProductWasAddedEvent notification, CancellationToken cancellationToken )
    {
      await _writeContext.Products.AddAsync( notification.Product, cancellationToken );
      await _writeContext.SaveChangesAsync( cancellationToken );
    }
  }