How to handle a generic type param being changed when pattern matching is required for the child fragments that do the editing

Question

I have the following Blazor component:

@using System.Linq.Expressions

@typeparam T

@switch(Value)
{
    case bool boolValue:
        <InputCheckbox @bind-Value=boolValue @bind-Value:after=ChangeValue />
        break;
    case string stringValue:
        <InputText @bind-Value=stringValue @bind-Value:after=ChangeValue />
        break;
}

@code {
    [Parameter] public T Value { get; set; }
    [Parameter] public EventCallback<T> ValueChanged { get; set; }
    [Parameter] public Expression<Func<T>>? ValueExpression { get; set; } = default;

    private async Task ChangeValue()
    {
        await ValueChanged.InvokeAsync(Value);
    }
}

I am not clear how to bind the updated boolValue in InputCheckbox or stringValue in InputText back to Value and how to effectively coerce a bool or string into T.

If there is a better pattern for templating an editor such as this, then I am all for it, but I am going to be doing additional things within this editor once I get the basics working.